how much would $500 invested at a 4% interest compounded continuosly be worth after 7 years round your answer to the nearest cent

The two angles shown are vertical angles which men they equal each other:

9n = 8n + 8

Subtract 8n from both sides:

N = 8

->Solution

i) 9n = 8n+8 [ V.O.A. vertically opposite angles ]

or, 9n - 8n = 8

or, n = 8

therefore, value of n is 8

Now,

ii) 9n = 9 X n = 9 X 8 = 72 degrees

iii) 8n + 8 = 8 X 8 + 8 = 64 + 8 = 72 degrees

Answer: (-4,-7)

Step-by-step explanation:

The measure of the radius, c, rounded to the nearest hundredthis 12.36cm

The given figure is a pentagon. The measure of one of the interior angle is 108 degrees.

The triangle in the pentagon is right angle.

Measured acute ange = 108/2 = 54 degrees

Using the trig identity

sin 54 = 10/c

c =10/sin54

c = 10/0.8090
c = 12.36 cm

Hence the  measure of the radius, c, rounded to the nearest hundredthis 12.36cm

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Answer:

12.36

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Mean - add all the numbers up and divide by the amount of numbers you have.

Add all the numbers up-

17 + 9 + 11 + 7 = 44

Divide by the amount of numbers you have, since you have 4, divide by 4

44/4 = 11

11 would be your answer!

I hope it helps! Have a great day!

Muffin ^^

Answer:

Step-by-step explanation:

Commission = 15% of sales amount

The amount Tania earned is:

Commission is 15% of earnings

Commission:-.

Answer:

x = 4[tex]\sqrt{3}[/tex] , y = 4

Step-by-step explanation:

using the cosine and sine ratios in the right triangle and the exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 4[tex]\sqrt{3}[/tex]

and

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{8}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 8 ( divide both sides by 2 )

y = 4

Answer:

8,874%

Step-by-step explanation:

Find percent of change by finding the differnce between the original price and new price. You can then use a proportion "change/original = percent/100"

Answer:

40m

Step-by-step explanation:

The total distance from Aurora to Clifton through Burlington is: 65 + 72 = 137

137 - 97 = 40

So it is 40 m  closer to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington.

Answer:

47

Step-by-step explanation:

Determine if the sequence is arithmetic or geometric.

The difference between each term in the sequence is constant, so this is an arithmetic sequence.

To calculate the common difference, subtract one term from the next term:

14.5 - 8 = 6.5

21 - 14.5 = 6.5

27. 5 - 21 = 6.5

34 - 27.5 = 6.5

40.5 - 34 = 6.5

So the common difference is 6.5

To find the next term in the sequence, add 6.5 to the last term given:

40.5 + 6.5 = 47

Answer:

169

Step-by-step explanation:

Answer:

13 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

5^2 + 12^2 = c^2

25 + 144 = c^2

169 = c^2

Now we need to find the square root!!

[tex]\sqrt{169}[/tex] = 13

Have an amazing day!!!

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Answer:

Only iris is correct in equation sq. z = 9/25

Answer:  C.0.0009378

Step-by-step explanation:

9.378E-5 is basically 9.378 x 10∧-5. Move the decimal to right 5 times.

C =                                                               ( not given in the figure )

area of triangular prism:

Answer:

Step-by-step explanation:

A = 10 cm

B = 8 cm    {base of the triangle}

C =  2 cm

D = 6 cm   {height of the triangle}

Area of the triangular prism = (A + B + D)*C + base * height

                                               = (10 + 8 + 6)*2 + 8*6

                                               = 24*2 + 48

                                               = 48 + 48

                                               = 96 cm²

The class can make the school cup of 120.5 cm tall.

Equations include two sides on the left and right connected with equal to sign.

We can find the key measurements of the cups using the formula,

x + 10y = 125

where x is the height of one cup without including the lip length and y is the lip length.

x + y is the height of one cup.

There are various ways to form the measurement of x and y here.

Let y, the lip length of the cup be 1 cm tall. Then,

x + 10 = 125

⇒ x = 115

Length of 1 cup will be 115 + 1 = 116 cm.

Suppose length of lip, y be 0.5 cm. Then,

x + (10 × 0.5) = 125

x + 5 = 125

x = 125 - 5

x = 120 cm

Length of 1 cup will be 120 + 0.5 = 120.5 cm.

Similarly, we can have many measurements for the height of one cup.

Their logo can be placed in the middle of the cup taking the height of 80 cm leaving 20 cm on the top and bottom.

Hence the class can make the school cup of 120.5 cm tall.

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Answer:

n*8 = n+13

Step-by-step explanation:

To find the equation, we must first disect the sentence.  A product of a number and 8. This means a number times 8. A number n times 8. n*8.  Next, is equal to. This means add an equal to sign after n*8.  n*8 = . The sum of the number (n) and 13. This means n+13.  So, put it all together:

n*8 = n+13

Answer:

10 Tadpoles were mesured in the line plot

Answer:

10 tadpoles

Step-by-step explanation:

look at the diagram

count the x's

you get your answer

Answer:

13.0 cm

Step-by-step explanation:

We proceed by Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

We are given a = 1 and b = 13

[tex]1^2 +13^2 =c^2\\c=\sqrt{170}\\[/tex]

c ≈ 13.0

This is the answer rounded to the nearest tenth.

Answer:

Without outlier: 9

With outlier: 8.2

Step-by-step explanation:

Outlier is the lonely point at 1 passenger.

Mean is the average

Without outlier:

one 7

two 8

two 9

four 10

=[7+(2*8)+(2*9)+(4*10)] / 9

= (7 + 16 + 18 + 40) / 9

= 81/9

9

With outlier:

one 1

one 7

two 8

two 9

four 10

=[1+7+(2*8)+(2*9)+(4*10)] / 10

= 82/10

=8.2

Answer:

Mean with outlier: 8.2

Mean without outlier: 9

Hope This Helps! :) Please Give Brainliest!

Answer:

A

Step-by-step explanation:

Answer:

A) 18.84 divided by 6 is the answer.

Step-by-step explanation:

pi is essentially any circles' circumference over its diameter. In this case, the rug's circumference is 18.84 and it's diameter is 6, therefore to find pi, you would do 18.84 divided by 6, which is answer A.

Hope this helps!

[tex] \huge\boxed { \frak{Answer : }}[/tex]

Given :

[tex] \: \: \: [/tex]

[tex] \: \: \: [/tex]

We Have To Find The Value Of " b ".

[tex] \: \: \: [/tex]

[tex] \: \: [/tex]

Now , Put the given value of x & y in the above eqn ~.

[tex] \: \: [/tex]

[tex] \sf \large \: \: \: \: ⇝5x + by = 17[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝5( - 3) + b(8) = 17[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝ - 15 + 8b = 17[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝8b = 17 + 15[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝8b = 32[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝b = \cancel\frac{32}{8} [/tex]

[tex] \: \: [/tex]

[tex] \boxed{\sf \large \: \: \: \: \underline{ \: \: ⇝b = 4 \: \: \: \: }}[/tex]

[tex] \: \: [/tex]

Hope Helps!:)

The value of the coefficient b in the linear equation 5x +by =17 is -4

The pair of values are given as:

(x,y) = (-3,-8)

The equation is given as:

5x +by =17

Substitute values for x and y in the equation

-5 * 3 - 8 * b =17

Evaluate the product

-15 - 8b =17

Add 15 to both sides

-8b = 32

Divide both sides by -8

b = -4

Hence, the value of the coefficient b is -4

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So

Answer:

it looks like a triangle but it is not it is called a Nonigon

Answer: <C = 63°

Step-by-step explanation:

The interior angles in all triangles always equal 180°

47 + 70= 117

180 - 117 = 63°

<C = 63°

hope this helps :)

Answer:

yes

Step-by-step explanation:

if x=6, 6-3=3 , so it is possible if x is 6

The volume of the cup whose height is 8.3 cm and radius is 2.37 cm in cubic centimeters, by rounding off nearest tenth is 146.4 [tex]cm^{3}[/tex].

Volume of cup by rounding off nearest tenth = 146.4 [tex]cm^{3}[/tex].

The volume V of a cylinder with radius r is the area of the base B times the height h .

V=Bh  or  V=π[tex]r^{2}[/tex]h

It is given that,

height= 8.3 cm

Circumference = 14.9 cm

By using the circumference we first find the radius of circular base or top,

Circumference of the circle = 2πr

14.9= 2 x  3.14 x r

14.9= 6.28 x r

r= [tex]\frac{14.9}{6.28}[/tex]

r= 2.37 cm

Hence, the radius of the circle is 2.37 cm.

Volume of cup( cylindrical shape ) = π[tex]r^{2}[/tex]h

                                                         = 3.14 x 2.37 x 2.37 x 8.3

                                                         = 26.062 x 5.616

                                                         = 146.364 [tex]cm^{3}[/tex]

                                                         = 146.4 [tex]cm^{3}[/tex] (nearest tenth)

The volume of the cup in cubic centimeters, by rounding off nearest tenth is 146.4 [tex]cm^{3}[/tex].

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Answer:

Step-by-step explanation:

Given that, radius of Circle is 17 yards. To find the circumference of the circle we will the formula of circumference of circle:

Circumference of circle = 2πr

2 × 3.14 × 17

6.28 × 17

106.76 yards

Hence,

⠀

Step-by-step explanation :

⠀

As, it is given that, the radius of a circle is 17 yards and we are to find the circumference of the circle.

⠀

We know that,

[tex]{\longrightarrow {\qquad{\mathfrak {\pmb{ Circumference_{(circle)} = 2 \pi r }}}}}[/tex]

⠀

Here,

⠀

Now, substituting the values :

⠀

[tex]{\longrightarrow {\qquad{\sf {{ Circumference_{(circle)} = 2 \times 3.14 \times 17 }}}}}[/tex]

⠀

[tex]{\longrightarrow {\qquad{\sf {{ Circumference_{(circle)} = 6.28 \times 17 }}}}}[/tex]

⠀

[tex]{\longrightarrow {\qquad{\mathfrak {\pmb{ Circumference_{(circle)} = 106.76}}}}}[/tex]

⠀

Therefore,